A switchable cup-like lifter has an outer member, the outer member has an annular bottom a hollow cylindrical protruding part is guided far from the inner edge of the bottom, an inner member moving along the axial direction relative to the outer member is guided in a hole of the cylindrical protruding part, a coupling mechanism is distributed in the cup-like lifter, for the full valve stroke is realized when a cam basic circle passes, the coupling mechanism can start from a receiving part of one member, to be segmentally jointed with a servo-actuated surface of the other member correspondingly, a torsion-preventing mechanism is arranged between the members and is located in a window-shaped opening of the protruding part, and the torsion-preventing mechanism is imbedded in/on a longitudinal groove/longitudinal flattening part matched with the outer side surface of the inner member by aid of the inner side of the torsion-preventing mechanism, a tool is imbedded through another opening aligning with the opening of the hollow cylindrical protruding part, thus the torsion-preventing mechanism is processed, and the another opening is located in the radially opposed area of an inner liner.